Answer:
6720
Step-by-step explanation:
The writing 8P5 represents the number of permutations of 8 elements taken 5 at a time.
<u></u>
<u>First Method</u> :
8P5 = 8 × 7 × 6 × 5 × 4
= 6720
<u>Second Method</u> :
Hello,
Using the theorem of Thalès,
PR/TP=QS/TQ==>QS=4*20/16=5
Answer A
The length of the line joining the center of the circle and each coordinate is equal.
Let the center of the circle be (a, b), then
(a - 10)^2 + (b - 3)^2 = (a - 3)^2 + (b - 10)^2 = (a + 4)^2 + (b - 3)^2
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 = a^2 + 8a + 16 + b^2 - 6b + 9
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 . . . (1)
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 + 8a + 16 + b^2 - 6b + 9 . . . (2)
From (1): 14a - 14b = 0 => a = b
From (2): 28a = 84 => a = 84/28 = 3
Therefore, center = (a, b) = (3, 3)
Answer:
I think the answer is 7.2
Step-by-step explanation:
